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Finding the Fourth Proportional to 472,227.60, 708,427.80 and 191,773.20

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Solution

The fourth proportional to 472,227.60, 708,427.80 and 191,773.20 is: 287,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,227.60 : 708,427.80 = 191,773.20 : x
  2. Step 2: Convert to fraction form
    472,227.60/708,427.80 = 191,773.20/x
  3. Step 3: Cross multiply
    472,227.60x = 708,427.80 × 191,773.20
  4. Step 4: Simplify right side
    472,227.60x = 135,857,466,174.96
  5. Step 5: Solve for x
    x = 135,857,466,174.96/472,227.60
  6. Step 6: Final answer
    x = 287,694.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.